NDLI: Coupling Lyapunov functions approach for quantum control

Content Provider	IEEE Xplore Digital Library
Author	Vu, Thanh Long Ge, Shuzhi Sam Lee, Tong Heng
Copyright Year	2015
Description	Author affiliation: Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, 02139 USA (Vu, Thanh Long) \|\| Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117576 (Ge, Shuzhi Sam; Lee, Tong Heng)
Abstract	Quantum control concerns driving quantum systems to the desired properties or states. This objective is hindered by the non-deterministic nature of quantum systems and the symmetric topology of the quantum state space. This paper introduces a coupling Lyapunov functions approach to counter for the stochastic nature of quantum measurements and break the symmetric topology of resulting filter state space. As an example, we then apply it to synthesize non-smooth control almost surely globally stabilizing the desired Bell state-the maximally entangled two-qubit state with various applications. It turns out that this approach enables the short time convergence of the system state, which is essential in the control of entanglement. More interestingly, its combination with the generalized concept of SWM (simultaneous weak measurement)-induced quantum state reduction allows us to deterministically generate the maximally entangled Bell state with little non-local effects. We use numerical illustration to validate the proposed scheme.
Starting Page	7749
Ending Page	7754
File Size	363339
Page Count	6
File Format	PDF
e-ISBN	9781479978861
DOI	10.1109/CDC.2015.7403444
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-15
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lyapunov methods Aerospace electronics Couplings Quantum entanglement Feedback control Topology Atomic measurements
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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